A Novel Construction of Substitution Box Involving Coset Diagram and a Bijective Map

Table 11

Differential probability of the proposed S-box.

.02344	.02344	.02344	.02344	.03125	.02344	.02344	.02344	.02344	.03125	.02344	.02344	.02344	.01562	.02344	.03125
.02344	.02344	.03125	.03125	.03125	.03125	.03125	.02344	.02344	.03125	.02344	.02344	.02344	.02344	.02344	.02344
.01563	.02344	.02344	.03125	.03125	.03125	.02344	.02344	.02344	.02344	.03125	.02344	.02344	.02344	.01562	.02344
.03125	.03906	.02344	.03125	.02344	.02344	.03125	.02344	.03125	.03125	.03125	.02344	.02344	.02344	.02344	.02344
.03125	.04688	.03906	.02344	.02344	.02344	.03125	.02344	.01562	.02344	.03125	.02344	.02344	.02344	.02344	.03125
.03125	.03125	.02344	.03125	.03125	.03125	.03125	.03125	.02344	.02344	.02344	.03125	.02344	.03125	.02344	.02344
.02344	.03125	.03125	.03906	.03125	.02344	.03125	.03906	.02344	.02344	.03125	.02344	.03125	.02344	.03125	.02344
.01563	.03125	.03125	.03125	.03125	.03125	.02344	.02344	.03125	.03125	.02344	.03125	.02344	.03125	.02344	.02344
.03125	.03125	.03906	.02344	.03125	.02344	.02344	.03125	.03125	.03125	.02344	.03125	.02344	.03906	.03125	.03125
.03125	.02344	.03125	.02344	.03125	.03125	.02344	.03125	.02344	.02344	.02344	.03125	.02344	.03125	.02344	.02344
.02344	.03125	.02344	.02344	.02344	.03125	.03125	.02344	.03125	.02344	.02344	.03125	.02344	.02344	.02344	.03125
.02344	.02344	.03125	.02344	.02344	.02344	.02344	.02344	.02344	.02344	.03125	.03125	.02344	.02344	.02344	.02344
.02344	.02344	.02344	.02344	.02344	.02344	.03125	.02344	.02344	.02344	.03125	.02344	.02344	.03125	.03125	.03125
.03125	.02344	.04688	.02344	.02344	.02344	.03906	.03125	.03125	.02344	.02344	.02344	.03125	.03125	.02344	.03125
.02344	.02344	.03906	.03125	.02344	.02344	.02344	.02344	.02344	.03125	.03125	.02344	.03125	.02344	.03906	.03125
.03125	.03125	.02344	.02344	.03125	.03125	.02344	.02344	.02344	.03125	.02344	.02344	.02344	.03125	.02344	—